diff --git a/src/main/java/org/apache/commons/lang3/math/Fraction.java b/src/main/java/org/apache/commons/lang3/math/Fraction.java
index 3ba548fac87..a57845dd2bb 100644
--- a/src/main/java/org/apache/commons/lang3/math/Fraction.java
+++ b/src/main/java/org/apache/commons/lang3/math/Fraction.java
@@ -328,8 +328,8 @@ public static Fraction getReducedFraction(int numerator, int denominator) {
         if (numerator == 0) {
             return ZERO; // normalize zero.
         }
-        // allow 2^k/-2^31 as a valid fraction (where k>0)
-        if (denominator == Integer.MIN_VALUE && (numerator & 1) == 0) {
+        // Reduce common powers of two before sign normalization to avoid negating Integer.MIN_VALUE.
+        while ((numerator & 1) == 0 && (denominator & 1) == 0) {
             numerator /= 2;
             denominator /= 2;
         }
diff --git a/src/test/java/org/apache/commons/lang3/math/FractionTest.java b/src/test/java/org/apache/commons/lang3/math/FractionTest.java
index 7affb71cd67..aac15b7828c 100644
--- a/src/test/java/org/apache/commons/lang3/math/FractionTest.java
+++ b/src/test/java/org/apache/commons/lang3/math/FractionTest.java
@@ -1114,6 +1114,30 @@ void testReducedFactory_int_int() {
         assertEquals(1, f.getDenominator());
     }
 
+    @Test
+    void testReducedFactoryIntegerMinValue() {
+        Fraction f = Fraction.getReducedFraction(Integer.MIN_VALUE, -2);
+        assertEquals(1073741824, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.getReducedFraction(Integer.MIN_VALUE, -6);
+        assertEquals(1073741824, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.getReducedFraction(Integer.MIN_VALUE, Integer.MIN_VALUE);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        assertThrows(ArithmeticException.class, () -> Fraction.getReducedFraction(Integer.MIN_VALUE, -1));
+        assertThrows(ArithmeticException.class, () -> Fraction.getReducedFraction(Integer.MIN_VALUE, -3));
+
+        f = Fraction.getReducedFraction(-2, Integer.MIN_VALUE);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1073741824, f.getDenominator());
+
+        assertThrows(ArithmeticException.class, () -> Fraction.getReducedFraction(-7, Integer.MIN_VALUE));
+    }
+
     @Test
     void testSubtract() {
         Fraction f;